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Finding the Fourth Proportional to 185,865.63, 278,803.91 and 45,624.25

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Solution

The fourth proportional to 185,865.63, 278,803.91 and 45,624.25 is: 68,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,865.63 : 278,803.91 = 45,624.25 : x
  2. Step 2: Convert to fraction form
    185,865.63/278,803.91 = 45,624.25/x
  3. Step 3: Cross multiply
    185,865.63x = 278,803.91 × 45,624.25
  4. Step 4: Simplify right side
    185,865.63x = 12,720,219,290.82
  5. Step 5: Solve for x
    x = 12,720,219,290.82/185,865.63
  6. Step 6: Final answer
    x = 68,437.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.